write an absolute value inequality for 35 degrees C with the temperature able to vary as much as 1%

Question

For your chemistry experiment, you are trying to keep the water temperature at 35°C. For the experiment to work properly, the actual temperature can vary as much as 1%. Write and solve an absolute value inequality to find the acceptable temperatures of the water.

Answer 1

let x = actual temperature

 

1% of 35 = 0.01(35) = 0.35

 

l x - 35 l ≤ 0.35     So, -0.35 ≤ x - 35 ≤ 0.35

 

                                       34.65 ≤ x ≤ 35.35